Question

How do you do 6p-(5p+5)=-8-2(p+12)

Answer 1

Let's solve your equation step-by-step.
6
p
−
(
5
p
+
5
)
=
−
8
−
2
(
p
+
12
)
Step 1: Simplify both sides of the equation.
6
p
−
(
5
p
+
5
)
=
−
8
−
2
(
p
+
12
)
6
p
+
−
1
(
5
p
+
5
)
=
−
8
−
2
(
p
+
12
)
(Distribute the Negative Sign)
6
p
+
−
1
(
5
p
)
+
(
−
1
)
(
5
)
=
−
8
−
2
(
p
+
12
)
6
p
+
−
5
p
+
−
5
=
−
8
−
2
(
p
+
12
)
6
p
+
−
5
p
+
−
5
=
−
8
+
(
−
2
)
(
p
)
+
(
−
2
)
(
12
)
(Distribute)
6
p
+
−
5
p
+
−
5
=
−
8
+
−
2
p
+
−
24
(
6
p
+
−
5
p
)
+
(
−
5
)
=
(
−
2
p
)
+
(
−
8
+
−
24
)
(Combine Like Terms)
p
+
−
5
=
−
2
p
+
−
32
p
−
5
=
−
2
p
−
32
Step 2: Add 2p to both sides.
p
−
5
+
2
p
=
−
2
p
−
32
+
2
p
3
p
−
5
=
−
32
Step 3: Add 5 to both sides.
3
p
−
5
+
5
=
−
32
+
5
3
p
=
−
27
Step 4: Divide both sides by 3.
3
p
3
=
−
27
3
p
=
−
9

Answer 2

6p - (5p + 5) = -8 - 2(p +12)

*Simplify both sides of the equation by distributing*

6p − 5p − 5 = −8 + −2p - 24

*Combine like terms*

p − 5= −2p − 32

*Add 2p to both sides*

3p − 5 = −32

*Divide both sides by 3*

p = -9